Quantitative Aptitude

Page 13 of 48 • 475 total questions

Quantitative Aptitude • Surds and Indices

1 markView Details

Simplify: √(6 + √(6 + √(6 + √(6 + ...)))) × √(6 - √(6 - √(6 - √(6 - ...))))

A

√6

B

2√3

C

6

D

3√2

Quantitative Aptitude • Surds and Indices

1 markView Details

If a = 2^(1/3) + 2^(-1/3), prove that 2a³ - 6a - 5 = 0. Find the value of a³ - 3a

A

2

B

2.5

C

3

D

3.5

Quantitative Aptitude • Surds and Indices

1 markView Details

Simplify: √(5 + 2√6) + √(5 - 2√6)

A

2√2

B

2√3

C

√6

D

2√6

Quantitative Aptitude • Surds and Indices

1 markView Details

If x = 7 + 4√3, find the value of √x + 1/√x

A

2√2

B

3

C

4

D

2√3

Quantitative Aptitude • Simplification

1 markView Details

If a + 1/a = √3, find a⁶ + 1/a⁶

A

-2

B

0

C

2

D

4

Quantitative Aptitude • Simplification

1 markView Details

Find the value of: (1 - 1/2)(1 - 1/3)(1 - 1/4)...(1 - 1/n) where n > 1

A

1/n

B

(n-1)/n

C

1/(n-1)

D

2/n

Quantitative Aptitude • Simplification

1 markView Details

If x = (√5 + 1)/(√5 - 1) and y = (√5 - 1)/(√5 + 1), find x² + y²

A

6

B

7

C

8

D

9

Quantitative Aptitude • Simplification

1 markView Details

Simplify: (a-b)³ + (b-c)³ + (c-a)³ divided by (a-b)(b-c)(c-a)

A

1

B

2

C

3

D

6

Quantitative Aptitude • Simplification

1 markView Details

If a² + b² + c² = 2(a - b - c) - 3, find the value of 2a - 3b + 4c

A

1

B

2

C

3

D

4

Quantitative Aptitude • Simplification

1 markView Details

Simplify: log₄ 9 × log₉ 25 × log₅ 8

A

2

B

3

C

4

D

6

Page 13 of 48